2+6+7 = 15 total cakes
6 pineapple so probability is 6/15
then there would be 14 cakes
2 strawberry for a probability of 2/14
6/15 x 2/14 = 12/210
the first answer is the right one
Answer:
[tex]\frac{12}{210}[/tex]
Step-by-step explanation:
Strawberry cakes = 2
Pineapple cakes = 6
Chocolate cakes = 7
Total cakes = 15
Now we are given that Vincent selects a cake randomly without looking, and he will give a pineapple cake to the first child
So, probability of getting a pine apple cake in first draw = [tex]\frac{\text{No. of pineapple cakes}}{\text{Total no. of cakes}}[/tex]
= [tex]\frac{6}{15}[/tex]
Now total no. of remaining cakes = 15-1 =14
Now we are given that Vincent selects a cake randomly without looking, and he will give a strawberry cake to the second child
So, So, probability of getting a strawberry cake in second draw= [tex]\frac{2}{14}[/tex]
So, the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child = [tex]\frac{6}{15} \times\frac{2}{14} [/tex]
= [tex]\frac{12}{210}[/tex]
Hence Option A is true.
The probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child is [tex]\frac{12}{210}[/tex]
What is the difference between dividing 16 by 2 and finding the square root of 16 ?
A ZIP code contains 5 digits. How many different ZIP codes can be made with the digits 0 through 9 if no digit is used more than once?
A water cooler holds 1,284 ounces of water. How many more 6 ounce glasses than 12-ounce glasses can be filled from the cooler
If 5 key chains cost $11.25 then 15 key chains cost $
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
y = 3x - 4
x = 9
A. (9, 31)
B. (1, -1)
C. (0, -4)
D. (9, 23)
The required solution of the system is (x, y) = (9, 23). Option D is correct.
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
To solve the system of equations using the substitution method, we substitute x = 9 into the first equation:
y = 3(9) - 4
y = 27 - 4
y = 23
Therefore, the solution of the system is (x, y) = (9, 23).
So, the correct answer is option D, (9, 23).
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what is he value of 7 in 506,087
What is the measure of angle 4?
The probability that you will get grounded if you have a bad grade is 85%. The probability that you will get grounded and have extra chores is 50%. What is the probability that you will have extra chores given that you are already grounded?
Kris forwards an e-mail to 5 people. each of those people forward that e-mail to 5 more people. if this happens two more times, which expression shows the total number of people who have received the e-mail, not including Kris?
A) 4 x 5
B) 1+5+5^2
C)5+5^2+5^3
D) 5+5^2+5^3+5^4
The total number of people who have received the e-mail, not including Kris, after it has been forwarded 2 more times is 5 + 5^2 + 5^3.
Explanation:The expression that shows the total number of people who have received the e-mail, not including Kris, after it has been forwarded 2 more times is 5 + 5^2 + 5^3 (option C).
Kris forwards the e-mail to 5 people, so there are initially 5 recipients.Each of those 5 people forwards the e-mail to 5 more people, resulting in 5 x 5 = 25 additional recipients.After the second round of forwarding, each of the 25 people forwards the e-mail to 5 more people, resulting in 25 x 5 = 125 additional recipients.To find the total number of people who have received the e-mail, you sum up the number of recipients at each stage: 5 + 25 + 125 = 155. Therefore, the expression 5 + 5^2 + 5^3 represents the total number of people who have received the e-mail, not including Kris.
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is the ratio of two odd functions odd
write an expression with an exponent that has a value between 0 and 1
Okay, so first, we find a number that is between 0 and 1.
A number that qualifies for that condition would be ½.
A property of exponents is x^(n/m) = √x m sqrt(x^n), so x^(1/2) = √x
Therefore, such expression is:
x^(1/2) = 4
Where you now solve for x.
Exponential notation is a common language that is
needed in order to communicate mathematical ideas efficiently and clearly.
Efficiently written repeated multiplication was the reason that this notation was
developed.
An example of this is the division of cells that causes growth to occur in
living organisms. A single type of cell is divided 2 times in an hour,
therefore in 12 hours, the cell will divide into 2 • 2 • 2 • 2 • 2 • 2 • 2 • 2
• 2 • 2 • 2 • 2 time, or as efficiently written, 2^12.
Let f be defined as shown on the graph. Which statement is true?
1: The inverse of f exists
2: The inverse of f does NOT exist
the ratio of boys to girls at a movie is 4:7 if there are 21 girls how many boys are at the movie
Given quadrilateral ABCD with sides, 3, 3, 5, 5 respectively, identify the type of quadrilateral
209,767 rounded to the nearest 1,000
Which answer does NOT correctly describe the graph of y = 5x + 12?
The answer choices are 1. The Line Has A Constant Rate Of Change 2. The Graph Contains The Point (5, 12) 3. The Line Crosses The y-axis 12 Units Above The Origin 4. The Slope Of The Line Can be written as 5/1
2. The Graph Contains The Point (5, 12)
ExplanationRemember that in a linear function of the form [tex]y=mx+b[/tex], [tex]m[/tex] is the slope/rate of change of the line and [tex]b[/tex] is the y-intercept.
From our equation we can infer that [tex]b=12[/tex], so the y-intercept of our graph is 12 units above the origin on the point (0, 12). Therefore, choice 2 correctly describe the graph of y = 5x + 12
We can also infer that [tex]m=5[/tex], so the slope of our line is 5, which is constant, so our line has a constant rate of change. Also, since every integer can be written as a fraction with denominator 1, we can write our slope as [tex]m=\frac{5}{1}[/tex]. Therefore, choices 1 and 2 correctly describe the graph of y = 5x + 12.
Now, remember that any point on the plane has coordinates [tex](x,y)[/tex], so, to check if a point is on a line, we just need to replace the [tex]x[/tex] and [tex]y[/tex] values in the line equation and check if the equation holds. Our point is (5, 12), so x = 5 and y = 12. Lets replace the values in our line:
[tex]y=5x+12[/tex]
[tex]12=5(5)+12[/tex]
[tex]12=25+12[/tex]
[tex]12\neq 37[/tex]
Since the equation equation doesn't hold (12 is not equal 37), we can conclude that the graph doesn't contain the point (5, 12). Therefore, choice 2 does NOT correctly describe the graph y = 5x +12.
Answer:
The graph contains the point (5,12)
I got it right on t t m
mr lippman bought a dryer for 160 bucks and sold it for 240 bucks. if overhead expenses were 20% of the selling price, what was the rate of profit on the selling price?
If you flip three fair coins, what is the probability that you'll get all three tails?
Answer:
probability of getting a tail = 1/2
probability of getting 3 Tails = 1/2 × 1/2 × 1/2
= 1/8
One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?
A mobile phone carrier charges an extra fee if a customer uses more than 500 minutes each month. Tom has already used 230 minutes this month. Which inequality can be used to determine how many more minutes Tom can use this month without going over the 500-minute limit?
Answer:
230+m_<500 the line is meant to be under the sighn btw
Step-by-step explanation:i got it right on edge 2021
To determine how many more minutes Tom can use without exceeding his limit, we use the inequality X ≤ 270, which indicates that Tom can use up to 270 additional minutes.
To determine how many more minutes Tom can use this month without exceeding a 500-minute limit, given that he has already used 230 minutes. To solve this, we let X represent the additional minutes Tom can use. Since he has already used 230 minutes, we form the inequality 230 + X ≤ 500 to ensure that the total does not surpass the 500-minute limit. Simplifying this inequality, we subtract 230 from both sides to get X ≤ 270. Therefore, Tom can use up to 270 more minutes without incurring extra charges.
Round 833.785 to the nearest hundredth
There is a circle that is 2 km in diameter.. What is the number of acres in a circular ring if
1 km^2 = 247 acres.. Round to the nearest acre..
Thank you so much :)
area = PIr^2
radius = D/2 = 1KM
3.14 x 1^2 =3.14 square km
247 x 3.14 = 775.58 = 776 acres
Compare and contrast the absolute value of a real number to that of a complex number
Consider a real number in two dimensional plane that X axis and Y axis having ordered pair : P(x,y) or (3,4).
To find it's absolute value we will find it's Distance from origin.
As Coordinate of Origin = (0,0)
Absolute Value of OP = [tex]\left | OP \right |[/tex]
= [tex]\sqrt{(0-x)^2+(0-y)^2}=\sqrt {x^2+y^2}[/tex]
If the point is Q(3,4)
[tex]\left | OQ \right |=\sqrt{3^2+4^2}=\sqrt{5^2}=5[/tex]
In case of a complex number :
Z = a + bi , we consider two axes Real Axis and Imaginary Axis.
We represent Z that is (a,b) in the same way that we represent point in two dimensional plane.
To find it's absolute value , we will find it's distance from origin.
[tex]\left | Z \right |= \sqrt{a^2+b^2}[/tex]
If [tex]Z_{1}[/tex] = 6 + 8 i
[tex]\left | Z_{1}\right |=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]
in a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length what does this describe ?
Explain how to draw a trend line for a scatterplot using the divide-center of data method.
Answer:
Sample Answer: To draw a trend line with the divide-center method, first exclude any outliers. Draw a vertical line to divide the data cluster into two groups with approximately the same number of points. Find the center of each group and connect those centers to form the trend line.
Find the length of the missing side. If necessary, round to the nearest tenth.
side A=10
side B=19
side C=C
A. 21.5
B. 58
C. 29
D. 841
PLEASE ANSWER FOR BRAINLIEST
ANSWER IF UR SURE 11 Points
ANSWER 6 & 7
6) answer is B , random sampling produces a representative sample
7) 0.1 = 10% so the answer is A, he saves 10% of his income
Which statement is true about the line segments below
Given point A with coordinates (3, 5) and point B with coordinates (12, 9)… • Find point C that splits segment AB into a ratio of 4:7 • Find point D that is located 2/5 of the way from point A to point B